Question

The time period of a simple pendulum of infinite length is ($R_{e}$ = radius of Earth)(a) T = $2\pi\sqrt{\frac{R_{e}}{g}}$(b) T = $2\pi\sqrt{\frac{2R_{e}}{g}}$(c) T = $2\pi\sqrt{\frac{R_{e}}{2g}}$(d) T = ∞

Answer 1

Answer:

The correct answer is (a).

Explanation:

We have the general formula for calculating the time period of a simple pendulum as T= 2π√l/g

However, it is applicable only in those cases in which the length of the pendulum is quite small or negligible with respect to the radius of the Earth.

This main relation can be altered according to conditions in order to derive the respective formula in various situations.